Answer:
1.31, 0.19 to nearest hundredth.
Step-by-step explanation:
1/x + 1/(x - 1) = 4
Multiply through by x(x - 1):-
x - 1 + x = 4x(x - 1)
4x^2 - 4x = 2x - 1
4x^2 - 6x = -1
4(x^2 - 3.2 x) = -1
Completing the square:-
4 [ ( x - 3/4)^2 - 9/16] = -1
4(x - 3/4)^2 - 9/4 = -1
4(x - 3/4)^2 = 5/4
(x - 3/4)^2 = 5/16
x - 3/4 = +/- √5 / 4
x = √5 / 4 + 3/4 , -√5 / 4 + 3/4
= 1.31, 0.19 to nearest hundredth.
Answer:
Ed Moura invest $64000 in certificates of deposit paying 3%
Step-by-step explanation:
Ed Moura has $32000 invested in stocks paying 6%.
Additional money in certificates of deposit paying 3% =x
so that the average return on the two investments is 4%.
32000*6% +3%*x = 4%(32000+x)
32000*0.06 +0.03*x = 0.04(32000+ x)
1920 + 0.03x = 1280 +0 .04x
1920 - 1280 = 0.04x - 0.03x
0.01x = 640
x = 64000
x = $64000
x= $64000 in certificates of deposit paying 3%
Thank you.
Answer:
Step-by-step explanation:
How many questions are on the exam? Represent this by n.
Then 40% of n comes out to 12 questions, or more symbolically,
0.40n = 12, after which we get n = 12/0.40 = 30
Answers:
(1) 0.40n = 12 is the desired equation.
(2) n = 30 is the number of questions on the exam.
(3) See above for explanations.
Answer:
7 x4
Step-by-step explanation:
The answer to this question is 46.16.
